Answer
This is a single replacement reaction.
Work Step by Step
In this case, $Zn$ is an uncombined element that replaces the $Cu$ in $Cu(NO_3)_2$. That reaction can be described by the equation:
$Zn + Cu(NO_3)_2 --\gt Cu + Zn(NO_3)_2$
Pattern for single replacement reactions: $A + BC --\gt B + AC$
Therefore, we can classify this as a single replacement reaction.
